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Power-law distributions occur in many situations of scientific interest and have significant consequences for our understanding of natural and man-made phenomena. Unfortunately, the detection and characterization of power laws is…

Data Analysis, Statistics and Probability · Physics 2009-11-12 Aaron Clauset , Cosma Rohilla Shalizi , M. E. J. Newman

This paper provides the first empirical network analysis of the Argentine interbank money market. Its main topological features are examined applying graph theory, focusing on the unsecured overnight loans settled from 2003 to 2017. The…

Physics and Society · Physics 2021-02-17 Federico Forte

We provide an empirical analysis of the network structure of the Austrian interbank market based on a unique data set of the Oesterreichische Nationalbank (OeNB). We show that the contract size distribution follows a power law over more…

Condensed Matter · Physics 2007-05-23 Michael Boss , Helmut Elsinger , Martin Summer , Stefan Thurner

Distinguishing power-law distributions from other heavy-tailed distributions is challenging, and this task is often further complicated by subsampling effects. In this work, we evaluate the performance of two commonly used methods for…

Data Analysis, Statistics and Probability · Physics 2024-05-09 Silja Sormunen , Lasse Leskelä , Jari Saramäki

Many man-made and natural phenomena, including the intensity of earthquakes, population of cities and size of international wars, are believed to follow power-law distributions. The accurate identification of power-law patterns has…

Data Analysis, Statistics and Probability · Physics 2014-04-15 Yogesh Virkar , Aaron Clauset

We characterize the tail behavior of the distribution of the PageRank of a uniformly chosen vertex in a directed preferential attachment graph and show that it decays as a power law with an explicit exponent that is described in terms of…

Probability · Mathematics 2021-10-20 Sayan Banerjee , Mariana Olvera-Cravioto

Over the last few decades power law distributions have been suggested as forming generative mechanisms in a variety of disparate fields, such as, astrophysics, criminology and database curation. However, fitting these heavy tailed…

Computation · Statistics 2014-08-26 Colin S. Gillespie

To account quantitatively for many reported ``natural'' fat tail distributions in Nature and Economy, we propose the stretched exponential family as a complement to the often used power law distributions. It has many advantages, among which…

Statistical Mechanics · Physics 2009-10-31 Jean Laherrère , D. Sornette

A large consensus now seems to take for granted that the distributions of empirical returns of financial time series are regularly varying, with a tail exponent close to 3. We revisit this results and use standard tests as well as develop a…

Physics and Society · Physics 2008-12-10 Y. Malevergne , V. F. Pisarenko , D. Sornette

We embrace a fresh perspective to auditing by analyzing a large set of companies as complex financial networks rather than static aggregates of balance sheet data. Preliminary analyses show that network centrality measures within these…

Computational Engineering, Finance, and Science · Computer Science 2023-11-30 M. Boersma , S. Sourabh , L. A. Hoogduin , D. Kandhai

We use data on wealth of the richest persons taken from the "rich lists" provided by business magazines like Forbes to verify if upper tails of wealth distributions follow, as often claimed, a power-law behaviour. The data sets used cover…

Statistical Finance · Quantitative Finance 2015-06-15 Michal Brzezinski

Systemic risks of default contagion in the Russian interbank market are investigated. The analysis is based on considering the bow-tie structure of the weighted oriented graph describing the structure of the interbank loans. A probabilistic…

Risk Management · Quantitative Finance 2016-01-05 A. V. Leonidov , E. L. Rumyantsev

We introduce a new statistical tool (the TP-statistic and TE-statistic) designed specifically to compare the behavior of the sample tail of distributions with power-law and exponential tails as a function of the lower threshold u. One…

Computational Physics · Physics 2009-11-10 V. F. Pisarenko , D. Sornette

We study unit-level expenditure on consumption across multiple countries and multiple years, in order to extract invariant features of consumption distribution. We show that the bulk of it is lognormally distributed, followed by a power law…

Physics and Society · Physics 2017-03-01 Anindya S. Chakrabarti , Arnab Chatterjee , Tushar K. Nandi , Asim Ghosh , Anirban Chakraborti

This paper studies the statistical properties of the web of import-export relationships among world countries using a weighted-network approach. We analyze how the distributions of the most important network statistics measuring…

Physics and Society · Physics 2009-11-13 Giorgio Fagiolo , Javier Reyes , Stefano Schiavo

Statistical distributions with heavy tails are ubiquitous in natural and social phenomena. Since the entries in heavy tail have disproportional significance, the knowledge of its exact shape is very important. Citations of scientific papers…

Physics and Society · Physics 2015-06-05 Michael Golosovsky , Sorin Solomon

We investigate the shape of the Italian personal income distribution using microdata from the Survey on Household Income and Wealth, made publicly available by the Bank of Italy for the years 1977--2002. We find that the upper tail of the…

Other Condensed Matter · Physics 2009-01-31 F. Clementi , M. Gallegati

Tools of the theory of critical phenomena, namely the scaling analysis and universality, are argued to be applicable to large complex web-like network structures. Using a detailed analysis of the real data of the International Trade Network…

General Finance · Quantitative Finance 2009-11-13 K. Bhattacharya , G. Mukherjee , J. Saramaki , K. Kaski , S. S. Manna

We provide an empirical investigation aimed at uncovering the statistical properties of intricate stock trading networks based on the order flow data of a highly liquid stock (Shenzhen Development Bank) listed on Shenzhen Stock Exchange…

Statistical Finance · Quantitative Finance 2015-03-13 Zhi-Qiang Jiang , Wei-Xing Zhou

We study the international interbank market through a geometrical and a topological analysis of empirical data. The geometrical analysis of the time series of cross-country liabilities shows that the systematic information of the interbank…

Computational Finance · Quantitative Finance 2012-05-28 Alessandro Spelta , Tanya Araújo
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